11861000 has 64 divisors (see below), whose sum is σ = 28782000. Its totient is φ = 4569600.

The previous prime is 11860993. The next prime is 11861011. The reversal of 11861000 is 16811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2114116 + 9746884 = 1454^2 + 3122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11861000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28796 + ... + 29204.

Almost surely, 2^11861000 is an apocalyptic number.

11861000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391000).

11861000 is an abundant number, since it is smaller than the sum of its proper divisors (16921000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11861000 is a wasteful number, since it uses less digits than its factorization.

11861000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 11861000 is about 3443.9802554602. The cubic root of 11861000 is about 228.0554394784.

Adding to 11861000 its reverse (16811), we get a palindrome (11877811).

The spelling of 11861000 in words is "eleven million, eight hundred sixty-one thousand".